A GENERALIZATION OF PRIME HYPERIDEALS

Let R be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalization of prime hyperideal. A proper hyperideal I of R is called an n-absorbing hyperideal of R if whenever α1o . . . oαn+1 ⊆ I for 1, . . . , αn+1 ∈ R, then there are n of the αi, s whose product is in I.